Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays

Joint Authors

Huang, Zhengkun
Xie, Shasha

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-02-28

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

Wilson-Cowan model of neuronal population with time-varying delays is considered in this paper.

Some sufficient conditions for the existence and delay-based exponential stability of a unique almost periodic solution are established.

The approaches are based on constructing Lyapunov functionals and the well-known Banach contraction mapping principle.

The results are new, easily checkable, and complement existing periodic ones.

American Psychological Association (APA)

Xie, Shasha& Huang, Zhengkun. 2013. Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-490222

Modern Language Association (MLA)

Xie, Shasha& Huang, Zhengkun. Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-490222

American Medical Association (AMA)

Xie, Shasha& Huang, Zhengkun. Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-490222

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-490222